Evaluate
98
Factor
2\times 7^{2}
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\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)3528}\\\end{array}
Use the 1^{st} digit 3 from dividend 3528
\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)3528}\\\end{array}
Since 3 is less than 36, use the next digit 5 from dividend 3528 and add 0 to the quotient
\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)3528}\\\end{array}
Use the 2^{nd} digit 5 from dividend 3528
\begin{array}{l}\phantom{36)}00\phantom{4}\\36\overline{)3528}\\\end{array}
Since 35 is less than 36, use the next digit 2 from dividend 3528 and add 0 to the quotient
\begin{array}{l}\phantom{36)}00\phantom{5}\\36\overline{)3528}\\\end{array}
Use the 3^{rd} digit 2 from dividend 3528
\begin{array}{l}\phantom{36)}009\phantom{6}\\36\overline{)3528}\\\phantom{36)}\underline{\phantom{}324\phantom{9}}\\\phantom{36)9}28\\\end{array}
Find closest multiple of 36 to 352. We see that 9 \times 36 = 324 is the nearest. Now subtract 324 from 352 to get reminder 28. Add 9 to quotient.
\begin{array}{l}\phantom{36)}009\phantom{7}\\36\overline{)3528}\\\phantom{36)}\underline{\phantom{}324\phantom{9}}\\\phantom{36)9}288\\\end{array}
Use the 4^{th} digit 8 from dividend 3528
\begin{array}{l}\phantom{36)}0098\phantom{8}\\36\overline{)3528}\\\phantom{36)}\underline{\phantom{}324\phantom{9}}\\\phantom{36)9}288\\\phantom{36)}\underline{\phantom{9}288\phantom{}}\\\phantom{36)9999}0\\\end{array}
Find closest multiple of 36 to 288. We see that 8 \times 36 = 288 is the nearest. Now subtract 288 from 288 to get reminder 0. Add 8 to quotient.
\text{Quotient: }98 \text{Reminder: }0
Since 0 is less than 36, stop the division. The reminder is 0. The topmost line 0098 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 98.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}